Question

Determine the value of the following if it is possible. If it is not possible, explain.

Answer 1

Option C:

$\left(\begin{array}{cc}-6 & 0 \\12 & 21\end{array}\right)$

Solution:

Given data:

$3\left[\begin{array}{cc}-2 & 0 \\4 & 7\end{array}\right]$

To find the product:

Scalar element = 3

Scalar multiplication:

Multiply each of the matrix element by a scalar.

Here multiply each of the matrix element by 3.

$3\left(\begin{array}{cc}-2 & 0 \\4 & 7\end{array}\right)=\left(\begin{array}{ccc}3(-2) & 3 \cdot 0 \\3 \cdot 4 & 3 \cdot 7\end{array}\right)$

Simplifying each element, we get

                     $=\left(\begin{array}{cc}-6 & 0 \\12 & 21\end{array}\right)$

The value of the given matrix is $\left(\begin{array}{cc}-6 & 0 \\12 & 21\end{array}\right)$.

Option C is the correct answer.